Question

Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.

6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2

Answer 1

• commutative property of addition
• distributive property

Explanation:

6ab²+4a²b-3ab²+3a²b-2a²b²

= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)

= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)

= 7a²b+3ab²-2a²b²

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We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.